Brief notes on dissipativity and passivity implications in the discrete-time setting

This chapter is endeavored to motivate the use and further research of dissipative and passive discrete-time systems exploiting their frequency-domain characteristics. Our aim will be to answer the question what dissipativity may be for. For this purpose, some important features and implications of the dissipativity and passivity properties in the discrete-time setting are collected. For the linear case, an important tool will be used as a way of illustrating the special properties that dissipative and passive systems exhibit: the frequency-domain interpretation of passivity and dissipativity by means of the positive realness property of a transfer function.